45751575312 has 480 divisors, whose sum is σ = 149478825600. Its totient is φ = 12965363712.

The previous prime is 45751575301. The next prime is 45751575319. The reversal of 45751575312 is 21357515754.

45751575312 is a `hidden beast` number, since 4 + 5 + 75 + 1 + 575 + 3 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (45751575319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144326578 + ... + 144326894.

It is an arithmetic number, because the mean of its divisors is an integer number (311414220).

Almost surely, 2^45751575312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45751575312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74739412800).

45751575312 is an abundant number, since it is smaller than the sum of its proper divisors (103727250288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45751575312 is a wasteful number, since it uses less digits than its factorization.

45751575312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its digits is 735000, while the sum is 45.

The spelling of 45751575312 in words is "forty-five billion, seven hundred fifty-one million, five hundred seventy-five thousand, three hundred twelve".